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Simplifying 9u + 34 = 7(u + 4) Reorder the terms: 34 + 9u = 7(u + 4) Reorder the terms: 34 + 9u = 7(4 + u) 34 + 9u = (4 * 7 + u * 7) 34 + 9u = (28 + 7u) Solving 34 + 9u = 28 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 34 + 9u + -7u = 28 + 7u + -7u Combine like terms: 9u + -7u = 2u 34 + 2u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 34 + 2u = 28 + 0 34 + 2u = 28 Add '-34' to each side of the equation. 34 + -34 + 2u = 28 + -34 Combine like terms: 34 + -34 = 0 0 + 2u = 28 + -34 2u = 28 + -34 Combine like terms: 28 + -34 = -6 2u = -6 Divide each side by '2'. u = -3 Simplifying u = -3
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